Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34104u |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
204700945856230656 = 28 · 314 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -4 3 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200769,-26860203] |
[a1,a2,a3,a4,a6] |
Generators |
[176295:6241698:125] |
Generators of the group modulo torsion |
j |
606445192192/138706101 |
j-invariant |
L |
5.5876533053565 |
L(r)(E,1)/r! |
Ω |
0.22924723380604 |
Real period |
R |
6.0934795292717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208p1 102312h1 34104z1 |
Quadratic twists by: -4 -3 -7 |